63187153920 has 968 divisors, whose sum is σ = 261084860640. Its totient is φ = 14511882240.

The previous prime is 63187153877. The next prime is 63187153921. The reversal of 63187153920 is 2935178136.

63187153920 is a `hidden beast` number, since 6 + 31 + 87 + 1 + 539 + 2 + 0 = 666.

63187153920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63187153921) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 3325639671 + ... + 3325639689.

Almost surely, 2^63187153920 is an apocalyptic number.

63187153920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63187153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130542430320).

63187153920 is an abundant number, since it is smaller than the sum of its proper divisors (197897706720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63187153920 is an equidigital number, since it uses as much as digits as its factorization.

63187153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 63187153920 in words is "sixty-three billion, one hundred eighty-seven million, one hundred fifty-three thousand, nine hundred twenty".